Log file (problems: slowed down surfing)

I have several problems. First is that i can't get rid of iexplore.exe process in Task Manager, and there are two processes always running. After stopping them they come back next second.
In the log file there are 3 running, I opened Internet Explorer and Firefox because surfing was slowed down. I takes 10 seconds or more for website to respond, an after respond it loads very fast - I would say normally.

Sometimes I have got ad pop ups in Internet Explorer. I would like to notice that I don't use Internet Explorer at all. I even tried to uninstall it, but it came back...